10678931343360 has 1728 divisors, whose sum is σ = 45492263107200. Its totient is φ = 2356729675776.

The previous prime is 10678931343341. The next prime is 10678931343391. The reversal of 10678931343360 is 6334313987601.

It is a happy number.

10678931343360 is a `hidden beast` number, since 1 + 0 + 67 + 8 + 93 + 1 + 3 + 433 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×10678931343360² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10678931343297 and 10678931343306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 368239011826 + ... + 368239011854.

It is an arithmetic number, because the mean of its divisors is an integer number (26326541150).

Almost surely, 2^{10678931343360} is an apocalyptic number.

10678931343360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10678931343360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22746131553600).

10678931343360 is an abundant number, since it is smaller than the sum of its proper divisors (34813331763840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10678931343360 is an frugal number, since it uses more digits than its factorization.

10678931343360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 10678931343360 in words is "ten trillion, six hundred seventy-eight billion, nine hundred thirty-one million, three hundred forty-three thousand, three hundred sixty".